1. A barge 8m wide, 16m long, and 4m high is transporting in sea water (SG=1.03) with a total load of 1500 kN (including its own weight and cargo). It floats vertically until an external force hit the scow resulting to a shifting of 100 kN (from the 1500 KN) at a distance 2.50m to one side causing the barge to go down 45 cm in the immersed wedge. Determine the a. distance in meters from the metacenter to the center of buoyancy b. distance in meters from the waterline to the cg of the loaded barge c. buoyancy moment in kN-m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question


EYES HERE!! EYES HERE!! EYES HERE!!

Please solve Problem 1 only. Please provide clear and detailed solution because I will study them. I will post another question for the remaining problems. Thank you!

1. A barge 8m wide, 16m long, and 4m high is transporting in sea water (SG=1.03) with a
total load of 1500 kN (including its own weight and cargo). It floats vertically until an
external force hit the scow resulting to a shifting of 100 kN (from the 1500 KN) at a
distance 2.50m to one side causing the barge to go down 45 cm in the immersed wedge.
Determine the
a. distance in meters from the metacenter to the center of buoyancy
b. distance in meters from the waterline to the cg of the loaded barge
c. buoyancy moment in kN-m
2. Two spheres, each 1.30m in diameter, weigh 5 kN and 13 kN respectively. They are
connected with a short rope and placed in water.
a. What is the tension in the rope?
b. What portion of the lighter sphere protrudes from the water?
3. A block of wood having a volume of 0.034 m'and weighing 300 N is suspended in water
as shown. A woden rod of lenth 3.40m and cross-section of 200 mm is attached to the
weight and also to the wall. If the rod weighs 16 N,
a. Determine the angle alpha for equilibrium
0.31 m
L= 3.4 m
300 N
4. A frustum of a cone (SG=0.45), 6m high with 4m diameter at the top and 2m at the
bottom floats in sea water with an SG=1.05. A 2m concrete (2400 kg/m) weight is
attached at the bottom of the smaller end of the frustum. Detemine the following:
a. weight "Wrc" of the frustum of the cone in kN
b. radius "R;" of the frustum in meters at the point of contact with the liquid surface
c. buoyant force acting on the frustum of the cone considering the whole set-up
d. draft of the frustum of the cone in meters
Transcribed Image Text:1. A barge 8m wide, 16m long, and 4m high is transporting in sea water (SG=1.03) with a total load of 1500 kN (including its own weight and cargo). It floats vertically until an external force hit the scow resulting to a shifting of 100 kN (from the 1500 KN) at a distance 2.50m to one side causing the barge to go down 45 cm in the immersed wedge. Determine the a. distance in meters from the metacenter to the center of buoyancy b. distance in meters from the waterline to the cg of the loaded barge c. buoyancy moment in kN-m 2. Two spheres, each 1.30m in diameter, weigh 5 kN and 13 kN respectively. They are connected with a short rope and placed in water. a. What is the tension in the rope? b. What portion of the lighter sphere protrudes from the water? 3. A block of wood having a volume of 0.034 m'and weighing 300 N is suspended in water as shown. A woden rod of lenth 3.40m and cross-section of 200 mm is attached to the weight and also to the wall. If the rod weighs 16 N, a. Determine the angle alpha for equilibrium 0.31 m L= 3.4 m 300 N 4. A frustum of a cone (SG=0.45), 6m high with 4m diameter at the top and 2m at the bottom floats in sea water with an SG=1.05. A 2m concrete (2400 kg/m) weight is attached at the bottom of the smaller end of the frustum. Detemine the following: a. weight "Wrc" of the frustum of the cone in kN b. radius "R;" of the frustum in meters at the point of contact with the liquid surface c. buoyant force acting on the frustum of the cone considering the whole set-up d. draft of the frustum of the cone in meters
Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Knowledge Booster
Water resource systems analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning